Key points are not available for this paper at this time.
Let be a finite, positive measure on Uⁿ, the unit polydisc in { {C}ⁿ}, and let ₙ be 2n-dimensional Lebesgue volume measure on Uⁿ. For 1 p q < a necessary and sufficient condition on is given in order that \ {{ₔ䂞fq (z) d (z) \ ^1/q} } C\ {{ₔ䂞fᵖ (z) d ₙ (z) \ ^1/p}} for every positive n-subharmonic function f on Uⁿ.
William W. Hastings (Wed,) studied this question.